The EU - along with Canada and Mexico - are now receiving a temporary exemption which expires Friday.
The 25 percent tariff on steel imports to the United States and a 10 percent tariff on aluminum imports went into effect on June 1, ending a two-month exemption and setting the stage for criticism from France, Germany, Britain, Mexico, Canada, and European Union officials.
Macroeconomic Advisers, a research firm focused on the US economy, reported Wednesday that the United States trade deficit in goods was "much narrower than expected", implying "substantially more" U.S. exports in the second quarter.
"These tariffs are hitting the wrong target", added House Ways and Means Committee chairman Kevin Brady, saying Europe, Mexico and Canada "are not the problem - China is".
"I am deeply disappointed at the unjustified decision by the U.S. to apply tariffs to European Union steel and aluminium imports", May said, TASS reports.
The tariffs, which apply to a long list of US products that includes everything from flat-rolled steel to playing cards and felt-tipped pens, will go into effect July 1, said Foreign Affairs Minister Chrystia Freeland.
Europe did not want a trade war, he said, but Washington had to back down from "unjustified, unjustifiable and unsafe tariffs".
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The EU has already issued a 10-page list of tariffs on U.S. goods ranging from Harley-Davidson motorcycles to bourbon.
"The government of Canada is confident that shared values, geography and common interests will ultimately overcome protectionism", Trudeau said.
Trudeau also noted that now the US has a $2 billion USA dollar surplus in steel trade with Canada and that Canada buys more American-made steel than any other country in the world.
The EU, for example, puts 10 per cent on auto imports, compared to 2.5 per cent charged by the U.S. "Instead of imposing piecemeal tariffs on our trading partners, he should comprehensively and fundamentally re-write all of our failed unfettered trade policies to stop the race to the bottom and lift living standards in the US and throughout the world". It's the USA businesses and individuals who purchase those products.
"Today is a bad day for world trade", European trade commissioner Cecilia Malmström said in a statement.
Harley-Davidson has already absorbed higher steel and aluminum costs since Trump first announced the metals tariffs three months ago. We think on the contrary that global trade must have rules in a context of multilateralism. We didn't lose textile jobs to Mexico or Canada, we lost them to countries we didn't have trade agreements with.
Business leaders in Canada and the USA predicted dire economic consequences as result of the US decision, which was felt widely across North America and Europe and touched off a storm of criticism on both sides of the Atlantic.
Against this backdrop, we highlight some industries that could be impacted the most by the tariffs.